Polynomial parametrisation of the canonical iterates to the solution of $-γg'= g^{-1}$
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917643131289600 |
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| author | Miyamoto, Roland |
| author_facet | Miyamoto, Roland |
| contents | The iterates $h_0,h_1,h_2,\dotsc$ constructed in [8,5] and converging to the only solution $g=h\colon[0,1]\to[0,1]$ of the iterative differential equation $-γg'= g^{-1}$, $γ>0$, are parametrised by polynomials over $\Bbb Q$, and the corresponding constant $γ=κ\approx0.278877$ is estimated by rational numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polynomial parametrisation of the canonical iterates to the solution of $-γg'= g^{-1}$ Miyamoto, Roland Combinatorics Numerical Analysis Classical Analysis and ODEs 65D20, 11B83, 11Y55, 26A06, 47H10, 33E99 The iterates $h_0,h_1,h_2,\dotsc$ constructed in [8,5] and converging to the only solution $g=h\colon[0,1]\to[0,1]$ of the iterative differential equation $-γg'= g^{-1}$, $γ>0$, are parametrised by polynomials over $\Bbb Q$, and the corresponding constant $γ=κ\approx0.278877$ is estimated by rational numbers. |
| title | Polynomial parametrisation of the canonical iterates to the solution of $-γg'= g^{-1}$ |
| topic | Combinatorics Numerical Analysis Classical Analysis and ODEs 65D20, 11B83, 11Y55, 26A06, 47H10, 33E99 |
| url | https://arxiv.org/abs/2402.06618 |